209412320 has 96 divisors (see below), whose sum is σ = 539656992. Its totient is φ = 76326912.

The previous prime is 209412317. The next prime is 209412349. The reversal of 209412320 is 23214902.

209412320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172034 + ... + 173246.

It is an arithmetic number, because the mean of its divisors is an integer number (5621427).

Almost surely, 2^209412320 is an apocalyptic number.

209412320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269828496).

209412320 is an abundant number, since it is smaller than the sum of its proper divisors (330244672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

209412320 is a wasteful number, since it uses less digits than its factorization.

209412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 209412320 is about 14471.0856538133. The cubic root of 209412320 is about 593.8372131170.

The spelling of 209412320 in words is "two hundred nine million, four hundred twelve thousand, three hundred twenty".